{
  "annotation_id": "950caee1-2499-4f1a-87af-732c37425ddf",
  "date_created": "2026-03-02T18:02:50.624000Z",
  "date_modified": "2026-03-02T18:02:50.624000Z",
  "file_hash": "f595d0ae0d339c9231c957f7277b7a2096bf4396d9dc99c994fd67847ecbc820",
  "private": false,
  "record": {
    "abstract": "We study solitary-wave and kink-wave solutions of a modified Boussinesq\nequation through a multiple-time reductive perturbation method. We use\nappropriated modified Korteweg-de Vries hierarchies to eliminate secular\nproducing terms in each order of the perturbative scheme. We show that the\nmultiple-time variables needed to obtain a regular perturbative series are\ncompletely determined by the associated linear theory in the case of a\nsolitary-wave solution, but requires the knowledge of each order of the\nperturbative series in the case of a kink-wave solution. These appropriate\nmultiple-time variables allow us to show that the solitary-wave as well as the\nkink-wave solutions of the modified Botussinesq equation are actually\nrespectively a solitary-wave and a kink-wave satisfying all the equations of\nsuitable modified Korteweg-de Vries hierarchies.",
    "arxiv_id": "solv-int/9703006",
    "authors": [
      "M. A. Manna",
      "V. Merle"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1098/rspa.1998.0215",
    "title": "Modified Korteweg-de Vries Hierachies in Multiple-Times Variables and   the Solutions of Modified Boussinesq Equations",
    "url": "https://arxiv.org/abs/solv-int/9703006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "636a76fd-82ae-461f-8573-bbf913fa3814",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}